Question

Length of a rectangular park is 115 1/4m and
breadth is 75 2/5 m
Find the area of the park.
If 2/3 of the park is covered with Plants and grass, find the remaining area.​

Answer 1

Answer:

length- 115 1/4

breadth - 75 2/5

area- length × breadth

115 1/4 × 75 2/5

= 862.5 m^2

area covered with plants = 2/3

remaining area = 2/3 862.5

=575 m^2

Answer 2

Answer:

• Total area of the park is 8689.85 m².
• Remaining area of the rectangular park is 2896.62 m².

Step-by-step explanation:

Given that:

$\sf{\circ\;Length\;of\;the\;rectangular\;park\;is\;115\dfrac{1}{4}\;m.}\\\\\sf{\circ\;Breadth\;of\;the\;rectangular\;park\;is\;75\dfrac{2}{5}\;m.}\\\\\sf{\circ\;\dfrac{2}{3}\;of\;the\;park\;is\;covered\;with\;plants.}$

To Find:

• Total area of the park
• Remaining area of the park.

Solution:

Finding the area of the rectangular park:

$\sf{Area=(Length\times Breadth)\;sq.units}$

Substituting the values,

$\sf{\longmapsto\left(115\dfrac{1}{4}\times 75\dfrac{2}{5}\right)m^2}$

Converting mixed fraction into improper fraction,

$\sf{\longmapsto\left(\dfrac{461}{4}\times \dfrac{377}{5}\right)m^2}$

Multiplying the numbers,

$\sf{\longmapsto\left(\dfrac{1,73,797}{20}\right)m^2}$

Dividing the numbers,

$\sf{\longmapsto8689.85\;m^2}$

Hence, area of the rectangular park is 8689.85 m².

Now, area covered by plants in the park:

$\sf{\longmapsto\left(\dfrac{2}{3}\times8689.85\right)m^2}$

Multiplying the numbers,

$\sf{\longmapsto\left(\dfrac{17379.7}{3}\right)m^2}$

Dividing the numbers,

$\sf{\longmapsto5793.23\;m^2}$

Calculating remaining area:

• Remaining area = Area of park - Area covered by plants

Substituting the values,

↪ (8689.85 - 5793.23) m²

↪ 2896.62 m²

Hence, remaining area of the park is 2896.62 m².